Ä = 2 i+2 j; B = 4 i – 4 j Determine the following: 1) Represent A in the form of AÂ 2) Â 3) B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the following problems assume:
 = 2 î + 2 ĵ; B = 4 i – 4 ĵ
Determine the following:
1)
Represent A in the form of AÂ
2)
Â
3)
4)
Ä B
5)
Ā (k x B)
Ā · (k × Â)
(k × Â) · (k × B)
(k × B) · (k × B)
Ā + B
6)
7)
8)
9)
10)
11)
Show that for any arbitrary vector A in two dimensions A (k × A)
Ā.
Transcribed Image Text:For the following problems assume: Â = 2 î + 2 ĵ; B = 4 i – 4 ĵ Determine the following: 1) Represent A in the form of AÂ 2) Â 3) 4) Ä B 5) Ā (k x B) Ā · (k × Â) (k × Â) · (k × B) (k × B) · (k × B) Ā + B 6) 7) 8) 9) 10) 11) Show that for any arbitrary vector A in two dimensions A (k × A) Ā.
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